Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.

DOI10.4171/GGD/164zbMath1281.20062arXiv1002.2564MaRDI QIDQ454400

Michael W. Davis, Boris L. Okun

Publication date: 1 October 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2564

zbMATH Keywords

Coxeter groupscohomologyArtin groupsgraph productsbuildingsright-angled Artin groupBestvina-Brady groups\(L^2\)-Betti numbersweighted \(L^2\)-cohomology

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (17)

Combinatorial covers and vanishing of cohomology ⋮ Vanishing results for the cohomology of complex toric hyperplane complements ⋮ Polyhedral products, flag complexes and monodromy representations ⋮ Random graph products of finite groups are rational duality groups ⋮ On problems concerning moment-angle complexes and polyhedral products ⋮ The Atiyah conjecture and \(L^2\)-cohomology computations ⋮ Abelian duality and propagation of resonance ⋮ A Survey on Spaces of Homomorphisms to Lie Groups ⋮ The Euler characteristic of a polyhedral product ⋮ Right-angularity, flag complexes, asphericity ⋮ Decompositions of polyhedral products for shifted complexes ⋮ Ends of finite volume, nonpositively curved manifolds ⋮ On the fundamental group of certain polyhedral products ⋮ The action dimension of right‐angled Artin groups ⋮ Topological 4-manifolds with right-angled Artin fundamental groups ⋮ Fat-wedge filtration and decomposition of polyhedral products ⋮ Right-angled Coxeter quandles and polyhedral products

Cites Work

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• Buildings
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• Higher Generation Subgroup Sets and the Virtual Cohomological Dimension of Graph Products of Finite Groups
• The Cohomology of Right-Angled Artin Groups with Group Ring Coefficients
• Commensurability of graph products

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